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Finding the Fourth Proportional to 907.56, 1,252.32 and 558.12

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Solution

The fourth proportional to 907.56, 1,252.32 and 558.12 is: 770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.56 : 1,252.32 = 558.12 : x
  2. Step 2: Convert to fraction form
    907.56/1,252.32 = 558.12/x
  3. Step 3: Cross multiply
    907.56x = 1,252.32 × 558.12
  4. Step 4: Simplify right side
    907.56x = 698,944.84
  5. Step 5: Solve for x
    x = 698,944.84/907.56
  6. Step 6: Final answer
    x = 770.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.